Division – Grade 3 Maths

Sharing & Grouping

Two ways to think about division

Inverse of ×

Division undoes multiplication

÷2, ÷3, ÷4

Dividing by 2, 3 and 4

÷5 and ÷10

Dividing by 5 and 10

Remainders

What's left over after dividing

Word Problems

Sharing and grouping in real life

1. Sharing and Grouping

Division can mean two things:

Sharing: 12 ÷ 4 = 3 means share 12 things equally between 4 people → 3 each

Grouping: 12 ÷ 4 = 3 means how many groups of 4 can you make from 12? → 3 groups

🍰 Sharing: give one to each person at a time. Grouping: put them into bags of the right size!

2. Division as Inverse of Multiplication

Division is the opposite of multiplication. Use your times tables to help!

If 3 × 4 = 12, then 12 ÷ 4 = 3 and 12 ÷ 3 = 4

Think: 18 ÷ 3 = ?
Ask yourself: "3 × ? = 18"
3 × 6 = 18, so 18 ÷ 3 = 6

🍬 Division fact families: 3 × 7 = 21, 7 × 3 = 21, 21 ÷ 3 = 7, 21 ÷ 7 = 3!

3. Dividing by 2, 3 and 4

Use your multiplication tables in reverse!

÷2: 16 ÷ 2 = 8 (2 × 8 = 16)
÷3: 21 ÷ 3 = 7 (3 × 7 = 21)
÷4: 32 ÷ 4 = 8 (4 × 8 = 32)

🌈 To divide by 4, halve and halve again! 32 ÷ 4 → 32 ÷ 2 = 16, 16 ÷ 2 = 8 ✓

4. Dividing by 5 and 10

÷5: 35 ÷ 5 = 7 (5 × 7 = 35)
÷10: 70 ÷ 10 = 7 (10 × 7 = 70)

🍭 To divide by 10, just remove the zero from the end! 90 ÷ 10 = 9.

5. Remainders

Sometimes a number doesn't divide exactly. What's left over is the remainder.

13 ÷ 4 = ?
4 × 3 = 12 (close but not quite 13)
13 − 12 = 1 left over
13 ÷ 4 = 3 remainder 1 (written 3 r 1)

🍩 The remainder is always less than the divisor — you can't have a remainder of 4 when dividing by 4!

6. Division Word Problems

Look for sharing, equal groups, each, split equally, how many each.

24 sweets are shared equally between 4 children. How many each?
24 ÷ 4 = 6 sweets each

There are 30 cakes. How many boxes of 5 can be filled?
30 ÷ 5 = 6 boxes

🎂 Draw a picture — sketch the groups or draw the sharing to help you decide which operation to use!

Example 1 — ÷2

18 ÷ 2 = ?

Think: 2 × ? = 18

2 × 9 = 18, so 18 ÷ 2 = 9

Example 2 — ÷3

21 ÷ 3 = ?

Think: 3 × ? = 21

3 × 7 = 21, so 21 ÷ 3 = 7

Example 3 — ÷4 using halving

32 ÷ 4 = ?

Halve 32: 32 ÷ 2 = 16

Halve again: 16 ÷ 2 = 8

Example 4 — ÷5

45 ÷ 5 = ?

Think: 5 × ? = 45

5 × 9 = 45, so 45 ÷ 5 = 9

Example 5 — ÷10

80 ÷ 10 = ?

Remove the zero from 80.

80 ÷ 10 = 8

🍭 Grouping Tool

Enter a total number of items and a group size. See them arranged into equal groups!

Total items: Group size:

Click Group to see the groups!

Exercise 1 — Dividing by 2

1. 2 ÷ 2 = ?

2. 4 ÷ 2 = ?

3. 6 ÷ 2 = ?

4. 8 ÷ 2 = ?

5. 10 ÷ 2 = ?

6. 12 ÷ 2 = ?

7. 14 ÷ 2 = ?

8. 16 ÷ 2 = ?

9. 18 ÷ 2 = ?

10. 20 ÷ 2 = ?

Exercise 2 — Dividing by 3

1. 3 ÷ 3 = ?

2. 6 ÷ 3 = ?

3. 9 ÷ 3 = ?

4. 12 ÷ 3 = ?

5. 15 ÷ 3 = ?

6. 18 ÷ 3 = ?

7. 21 ÷ 3 = ?

8. 24 ÷ 3 = ?

9. 27 ÷ 3 = ?

10. 30 ÷ 3 = ?

Exercise 3 — Dividing by 4

1. 4 ÷ 4 = ?

2. 8 ÷ 4 = ?

3. 12 ÷ 4 = ?

4. 16 ÷ 4 = ?

5. 20 ÷ 4 = ?

6. 24 ÷ 4 = ?

7. 28 ÷ 4 = ?

8. 32 ÷ 4 = ?

9. 36 ÷ 4 = ?

10. 40 ÷ 4 = ?

Exercise 4 — Dividing by 5

1. 5 ÷ 5 = ?

2. 10 ÷ 5 = ?

3. 15 ÷ 5 = ?

4. 20 ÷ 5 = ?

5. 25 ÷ 5 = ?

6. 30 ÷ 5 = ?

7. 35 ÷ 5 = ?

8. 40 ÷ 5 = ?

9. 45 ÷ 5 = ?

10. 50 ÷ 5 = ?

Exercise 5 — Dividing by 10

1. 10 ÷ 10 = ?

2. 20 ÷ 10 = ?

3. 30 ÷ 10 = ?

4. 40 ÷ 10 = ?

5. 50 ÷ 10 = ?

6. 60 ÷ 10 = ?

7. 70 ÷ 10 = ?

8. 80 ÷ 10 = ?

9. 90 ÷ 10 = ?

10. 100 ÷ 10 = ?

🏋️ Practice — 20 Questions (Mixed Division)

1. 10 ÷ 2 = ?

2. 18 ÷ 3 = ?

3. 28 ÷ 4 = ?

4. 40 ÷ 5 = ?

5. 90 ÷ 10 = ?

6. 16 ÷ 4 = ?

7. 9 ÷ 3 = ?

8. 6 ÷ 3 = ?

9. 100 ÷ 10 = ?

10. 2 ÷ 2 = ?

11. 20 ÷ 5 = ?

12. 21 ÷ 3 = ?

13. 25 ÷ 5 = ?

14. 32 ÷ 4 = ?

15. 12 ÷ 2 = ?

16. 12 ÷ 4 = ?

17. 27 ÷ 3 = ?

18. 4 ÷ 2 = ?

19. 50 ÷ 5 = ?

20. 10 ÷ 10 = ?

🏆 Challenge — 8 Questions

1. 26 ÷ 2 = ?

2. 36 ÷ 3 = ?

3. 44 ÷ 4 = ?

4. 75 ÷ 5 = ?

5. 140 ÷ 10 = ?

6. 125 ÷ 5 = ?

7. 80 ÷ 4 = ?

8. 54 ÷ 3 = ?

➗ Division